A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150? Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 - 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Question

Mathematics

Leland Hurley

5 August, 12:26

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150? Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 - 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

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Answers (1)

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Cristian Strong · Answer 1

First we rewrite the table:

20 30

50 75

80 120

150?

We observe that for each 30 number of hops, the distance increases by 45 feet.

We must find the slope of the line:

m = (y2-y1) / (x2-x1)

m = (75-30) / (50-20)

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5 * (150)

y = 225

Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.